34805201 has 2 divisors, whose sum is σ = 34805202. Its totient is φ = 34805200.

The previous prime is 34805149. The next prime is 34805203. The reversal of 34805201 is 10250843.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 34281025 + 524176 = 5855^2 + 724^2 .

It is an emirp because it is prime and its reverse (10250843) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-34805201 is a prime.

It is a super-2 number, since 2×34805201² = 2422804033300802, which contains 22 as substring.

Together with 34805203, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (34805203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17402600 + 17402601.

It is an arithmetic number, because the mean of its divisors is an integer number (17402601).

Almost surely, 2^34805201 is an apocalyptic number.

It is an amenable number.

34805201 is a deficient number, since it is larger than the sum of its proper divisors (1).

34805201 is an equidigital number, since it uses as much as digits as its factorization.

34805201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 34805201 is about 5899.5932910668. The cubic root of 34805201 is about 326.4986440974.

The spelling of 34805201 in words is "thirty-four million, eight hundred five thousand, two hundred one".